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Finding the Fourth Proportional to 205.51, 307.71 and 162.26

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Solution

The fourth proportional to 205.51, 307.71 and 162.26 is: 242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.51 : 307.71 = 162.26 : x
  2. Step 2: Convert to fraction form
    205.51/307.71 = 162.26/x
  3. Step 3: Cross multiply
    205.51x = 307.71 × 162.26
  4. Step 4: Simplify right side
    205.51x = 49,929.02
  5. Step 5: Solve for x
    x = 49,929.02/205.51
  6. Step 6: Final answer
    x = 242.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.